Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678q |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
2.1859237556123E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 5 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1858824,667925824] |
[a1,a2,a3,a4,a6] |
j |
3449298095761/1061517312 |
j-invariant |
L |
1.3135048566017 |
L(r)(E,1)/r! |
Ω |
0.164188104467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23226v1 69678h1 |
Quadratic twists by: -3 -7 |